| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Gauge theories on noncommutative homogeneous Kahler manifolds have been studied. To make the noncommutative manifolds, we used the deformation quantization with separation of variables for Kahler manifolds which was given by Karabegov. We constructed models of noncommutative gauge theories that are connected with usual Yang-Mills theories in the commutative limits. As examples, we gave noncommutative CP^N and noncommutative CH^N at first and construct gauge theories on them. In order to make theories as non-formal power series, the Fock representations of the noncommutative manifolds were constructed, too. Using the representations, the Euler-Lagrange equations and the BPS equations (including an instanton type equation) of the gauge theories were derived, and nontrivial solutions were also obtained.
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